Solving Systems of Equations by Graphing

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never intersect and have the same slope.

Front

What does it mean if a system of equations has one solution?

Back

It means the lines intersect at exactly one point.

Front

What happens when two lines overlap each other?

Back

It indicates that the system of equations has infinitely many solutions.

Front

What is the result of graphing the same equation twice?

Back

You will have infinite solutions.

Front

How can you determine if two lines are parallel?

Back

If they have the same slope but different y-intercepts.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines are parallel and will never intersect.

Front

What is the solution to a system of equations represented graphically?

Back

The point where the two lines intersect.

Front

How do you find the slope of a line from its equation?

Back

The slope is the coefficient of x in the equation of the line in slope-intercept form (y = mx + b).

Front

What is slope-intercept form?

Back

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis.